EduSahara™ Worksheet

Question 1

1.

In the given figure, given ∠JGH = ∠IGJ, x : y = 9.26 cm : 8.74 cm and q = 17 cm, find p =

(i)

18.00 cm
(ii)

19.00 cm
(iii)

17.00 cm
(iv)

20.00 cm
(v)

16.00 cm

Question 2

2.

△ABC is a triangle with sides BC = 12 cm, CA = 15 cm and AB = 13 cm. △ABC is reduced to △A'B'C' such that the smallest side of △A'B'C' is 4 cm. Find the corresponding lengths of the reduced triangle △A'B'C'.

(i)

4 cm, 5 cm, 4.33 cm
(ii)

2 cm, 3 cm, 2.33 cm
(iii)

3 cm, 4 cm, 3.33 cm
(iv)

5 cm, 6 cm, 5.33 cm
(v)

6 cm, 7 cm, 6.33 cm

Question 3

3.

The ratio of the bases of two triangles ABC and DEF is
3

:

7
.

If the triangles are equal in area, then the ratio of their heights is

(i)

3

:

9
(ii)

2

:

7
(iii)

7

:

3
(iv)

3

:

5
(v)

4

:

7

Question 4

4.

In the given figure, △DEF ∼ △NOP and EF = 13 cm , OP = 18.2 cm and

(i)

64.06 sq.cm
(ii)

62.06 sq.cm
(iii)

65.06 sq.cm
(iv)

66.06 sq.cm
(v)

63.06 sq.cm

Question 5

5.

In the given figure, △GHI and △STU are such that

Identify the property by which the two triangles are similar

(i)

not similar
(ii)

SSS Similarity
(iii)

AAA Similarity
(iv)

SAS Similarity

Question 6

6.

△ABC is a triangle with sides BC = 10 cm, CA = 14 cm and AB = 15 cm. △ABC is reduced to △A'B'C' such that the smallest side of △A'B'C' is 3.33 cm. Find the scale factor.

(i)

3
7
(ii)

5
9
(iii)

3
11
(iv)

1
9
(v)

1
3

Question 7

7.

In the given figure, ∠CDF = 39.74°, find the value of x =

(i)

48.26°
(ii)

51.26°
(iii)

50.26°
(iv)

49.26°
(v)

52.26°

Question 8

8.

In the given figure, the two circles touch each other internally.

Diameter
OB
passes through the centre of the smaller circle.

Find the radius of the outer circle.

(i)

12.26 cm
(ii)

16.26 cm
(iii)

14.26 cm
(iv)

15.26 cm
(v)

13.26 cm

Question 9

9.

If the ratio of the bases of two triangles is M : N and the ratio of the corresponding heights is O : P , the ratio of their areas in the same order is

(i)

OP : MN
(ii)

MP : NO
(iii)

MN : OP
(iv)

NO : MP
(v)

MO : NP

Question 10

10.

A triangle having an area 48.81 sq.cm is enlarged such that the area of its image is 63.43 sq.cm. Find the scale factor.

(i)

0.14
(ii)

9.14
(iii)

1.14
(iv)

3.14
(v)

2.14

Question 11

11.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠FDA =

(i)

∠FEH
(ii)

∠ACF
(iii)

∠DAF
(iv)

∠EHF
(v)

∠ABH

Question 12

12.

In the given figure, points M , N and O are the mid-points of sides KL, LJ and JK of △JKL. Which of the following are true?

a)	△MON ∼ △JKL
b)	△NML ∼ △JKL
c)	△JON ∼ △JKL
d)	△MNO ∼ △JKL
e)	△OKM ∼ △JKL

(i)

{a,c}
(ii)

{a,e,b}
(iii)

{a,d}
(iv)

{a,b}
(v)

{b,c,d,e}

Question 13

13.

The measurements of a triangular field △ABC are BC = 9 cm, AB = 10 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 16000. Calculate the actual length of CA in km.

(i)

4.15 km
(ii)

2.15 km
(iii)

1.15 km
(iv)

0.15 km
(v)

3.15 km

Question 14

14.

Identify the property by which the two given triangles are similar

(i)

not similar
(ii)

AAA Similarity
(iii)

SAS Similarity
(iv)

SSS Similarity

Question 15

15.

In an equilateral triangle ABC, the side BC is trisected at D. Then

(i)
7 AD

2

=

3 AB

2
(ii)
3 AD

2

=

7 AB

2
(iii)
9 AD

2

=

7 AB

2
(iv)
7 AD

2

=

9 AB

2

Question 16

16.

A model of a ship is made to a scale of 1 : 135. If the volume of the model ship is 4913 cu.m, calculate the volume of the ship.

(i)

11957822375.00 cu.m
(ii)

12117822375.00 cu.m
(iii)

12227822375.00 cu.m
(iv)

11937822375.00 cu.m
(v)

12087822375.00 cu.m

Question 17

17.

Which of the following are true?

a)	Any two quadrilaterals are similar if the corresponding angles are equal.
b)	Any two triangles are similar if the corresponding angles are equal.
c)	Any two triangles are similar if the corresponding sides are proportional.
d)	Any two quadrilaterals are similar if the corresponding sides are proportional.

(i)

{a,b,c}
(ii)

{a,b}
(iii)

{a,c}
(iv)

{a,d}
(v)

{b,c,d}

Question 18

18.

A model of a ship is made to a scale of 1 : 110. If the area of the deck of the ship is 1464100 sq.m, calculate the area of the deck of the model ship.

(i)

105.00 sq.m
(ii)

121.00 sq.m
(iii)

133.00 sq.m
(iv)

126.00 sq.m
(v)

113.00 sq.m

Question 19

19.

In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 28 cm and AP = 11 cm. Find PB

(i)

19.00 cm
(ii)

16.00 cm
(iii)

15.00 cm
(iv)

18.00 cm
(v)

17.00 cm

Question 20

20.

A rectangle having an area 132.00 sq.cm is reduced such that the area of its image is 25.56 sq.cm. Find the scale factor.

(i)

7.44
(ii)

8.44
(iii)

2.44
(iv)

1.44
(v)

0.44

Question 21

21.

A model of building is made with a scale factor of 1 : 30. Find the volume of the tank on the top of the model if its actual volume is 23149125 cu.cm.

(i)

857.38 cu.cm
(ii)

856.38 cu.cm
(iii)

859.38 cu.cm
(iv)

855.38 cu.cm
(v)

858.38 cu.cm

Question 22

22.

In the given figure, △KLM is a triangle in which KN is the internal bisector of ∠K and MO ∥ NK meeting LK produced at O . ∠KMO =

(i)

∠MOK
(ii)

∠OKM
(iii)

∠KNM
(iv)

∠NMK
(v)

∠LNK

Question 23

23.

In the given figure, △DEF ∼ △PQR and DE = 11 cm, PQ = 15.4 cm.

(i)

61.40 sq.cm
(ii)

57.40 sq.cm
(iii)

60.40 sq.cm
(iv)

59.40 sq.cm
(v)

58.40 sq.cm

Question 24

24.

From the given figure and values, find x

(i)

(

93

,

90

)
(ii)

(

90

,

89

)
(iii)

(

91

,

91

)
(iv)

(

92

,

92

)
(v)

(

90

,

90

)

Question 25

25.

Which of the following are true?

a)	A polygonal region can be divided into a finite number of triangles in a unique way.
b)	Area of the union of two polygonal region is not equal to the sum of the individual area.
c)	Area of a convex polygonal region is equal to the sum of the areas of all triangles formed by joining the vertices of the polygon with an interior point.
d)	Area of the union of two polygonal region is the sum of the individual area.

(i)

{a,c,b}
(ii)

{a,d,b}
(iii)

{d,c}
(iv)

{b,c}
(v)

{a,b}

Assignment Key